01 ya 05
Kodi Polygon ndi chiyani?
Ma polygoni ali awiri awiri
Mu geometry, pulogoni ndi mawonekedwe awiri- ofanana omwe:
- Ili ndi mizere itatu kapena yowongoka
- Yatsekedwa - palibe zofunkha kapena zopuma mu mawonekedwe
- Ali ndi mizere iwiri yomwe imagwirizanitsa pamakona kapena m'mphepete mwachindunji komwe imapanga maangelo
- Ali ndi ziwerengero zofanana ndi zazing'ono zamkati (mazenera mkati mwa polygon)
(Awiri-dimensional amatanthauza phokoso - ngati pepala)
Ndizo Zachigiriki Zonse
Dzina la polygon likuchokera ku mawu awiri achi Greek:
- poly - kutanthauza "ambiri"
- gon kutanthauza "angle"
Maonekedwe Amene Ali Polygoni
- Triangles
- Zikwangwani
- Pentagons
- Octagons
- Dodecagoni - monga ndalama ya Jamaican 12 yomwe ili pamwambapa
Maonekedwe Amene Sali Mapulogoni
- Bwalo - chifukwa liri ndi mzere wokhotakhota osati mizere yolunjika
- Bokosi kapena cube - chifukwa ndi zitatu-dimensional mu mawonekedwe osati awiri-dimensional
02 ya 05
Kutchula Polygoni
Mayina a Polygon
Mayina a ma polygoni amodzi amachokera ku chiwerengero cha mbali ndi / kapena mkati amayang'ana mawonekedwe omwe ali nawo.
(Mwa njira, chiwerengero cha m'mlengalenga - chimangoyang'ana mkati mwa mawonekedwe - nthawizonse chifanana ndi chiwerengero cha mbali).
Maina wamba a ma polygoni ali ndi chiwerengero cha Chigriki cha chiwerengero cha ma angles omwe amapezeka ku liwu lachi Greek kuti angle (gon).
Choncho, maina wamba a ma polygoni omwe amakhalapo asanu ndi asanu ndi asanu ndi awa:
- penta (Greek kutanthauzira asanu) + gon = pentagon
- hexa (Greek kutanthauza zisanu) + gon = hexagon
Kupatulapo
Pali, ndithudi, zosiyana ndi dongosolo ili lolemba dzina. Chofunika kwambiri:
Triangle - amagwiritsa ntchito chi Greek chilembo Tri, koma m'malo mwa Greek gon, Latin mbali amagwiritsidwa ntchito. (Nthaŵi zambiri amatchedwa trigoni).
Chiyanjano chochokera ku Chilatini - chikutanthawuza kuchokera ku Latin meaning quadri - kutanthawuza anayi - kumagwiritsidwa ntchito ku mawu otchedwa - lateral - limene liri liwu lina lachichewa lotanthawuza mbali.
Nthawi zina, mapaipi a zinayi amawatcha kuti quadrangle kapena tetragon .
n-maononi
Ma polygoni omwe ali ndi mbali zoposa khumi ndi ma angles alipo, ndipo ena amakhala ndi mayina odziwika - monga 100 mbali ectogon .
Popeza kuti amakumana ndi mavuto ambiri, nthawi zambiri amapatsidwa dzina lomwe limagwirizanitsa mavoti ndi mazenera ku nthawi yeniyeni yowonjezera.
Choncho, pulogoni 100 imatchedwa 100-gon .
Zina zowonjezera maina ndi maina ambiri a ma polygoni omwe ali ndi mbali zoposa khumi ndi awa:
- 11-gon: Hendecagon
- 12-gon: Dodecagon
- 20-gon: Icosagon
- 50-gon: Pentecontagon
- 1000-gon: Chiliagon
- 1000000-ndalama: Megagon
Pulogalamu ya Polygon
Zopeka, palibe malire ku mbali ndi mbali za pulogoni.
Monga kukula kwake kwazing'ono za pulogoni kumakhala kochepetseka ndipo kutalika kwa mbali zake kumafupikitsa poyuniyamu ikuyandikira bwalo - koma silifika pomwepo.
03 a 05
Kuika Polygoni
Nthawi zonse vs. Vuto Lopanda Polygons
Mipiringi yowonongeka yonse yazing'anga ndi yofanana kukula ndipo mbali zonsezo ndizofanana m'litali.
Phuloni yosayenerera ndi polygon yomwe ilibe angles ofanana kukula ndi mbali zofanana.
Convex vs. Concave
Njira yachiwiri yosankhira ma polygoni ndi kukula kwa ma ang'onoting'ono awo. Zosankha ziwirizo ndizogwiritsidwa ntchito moyenera komanso zogwirizana :
- Ma polygoni - osayang'ana mkati mwake oposa 180 °;
- Ma polygons a Concave - mbali imodzi mkati ndi yaikulu kuposa 180 °.
Zosavuta ndi Ma Polygoni Ovuta
Njira ina yosankhira ma polygoni ndi momwe mizere yopangira polygon ikuyendera.
- Mizere ya mapulogoni ophatikizana amalumikizana kapena kudutsa kamodzi kokha - pazithunzi;
- Mizere yambiri ya polygoni imayendana kangapo.
Maina a polygoni ovuta nthawi zina amasiyana ndi ma polygoni omwe ali ndi ziwerengero zomwezo.
Mwachitsanzo,
- Hexagon yokhala ndi mawonekedwe ozungulira nthawi zonse ndi sitala imodzi yokhala ndi polygon yosavuta
- Hex agram yofanana ndi nyenyezi ndizitsulo zokhala ndi mbali zisanu ndi imodzi zojambulidwa pogwiritsa ntchito zing'onozing'ono ziwiri zazing'ono zomwe zimagwiritsidwa ntchito pa chithunzi pamwambapa
04 ya 05
Chimake cha Maulamuliro a Mng'oma
Monga lamulo, nthawi iliyonse mbali inawonjezeredwa ku polygon, monga:
- Kuyambira katatu kupita ku quadrilateral (mbali zitatu kapena zinayi)
- Kuchokera pentagon kupita ku hexagon (mbali zisanu mpaka zisanu)
ena 180 ° amawonjezeredwa ku chiwerengero chonse cha zinthu zamkati.
Lamulo ili likhoza kulembedwa ngati lamulo:
(n-2) × 180 °
kumene n = nambala ya mbali ya polygon.
Kotero chiwerengero cha makina a mkati mwa hexagon chingapezeke pogwiritsira ntchito ndondomekoyi:
(6 - 2) × 180 ° = 720 °
Ndi Mayesero Angati Muli Polygon?
Mapangidwe apamwamba a mkati mwake amachokera pogawaniza polygon mpaka mu katatu, ndipo nambala iyi ingapezeke ndi kuwerengera:
n - 2
pomwe n kachiwiri ndi ofanana ndi chiwerengero cha mbali ya polygon.
Choncho, hexagon (mbali zisanu ndi chimodzi) ingagawidwe mu katatu (6 - 2) ndi dodecagon m'makona khumi (12 - 2).
Kukula kwa Mngelo kwa Polygoni Zonse
Kwa ma polygoni nthawi zonse (amayang'ana kukula kwake ndi kutalika kwa kutalika kwake), kukula kwa mbali iliyonse mu polygon ikhoza kuwerengedwa pogawira chiwerengero cha madigiri ndi mbali zonse.
Kwa hexagon yamphatikizinayi yazing'ono zisanu ndi imodzi, mbali iliyonse ndi:
720 ° ÷ 6 = 120 °
05 ya 05
Mapulogoni Ena Odziwika bwino
Zipembedzo zitatu
Zipangizo zamatabwa - nthawi zambiri zimakhala zofanana ndi zitatu. Malingana ndi m'lifupi ndi denga la denga, mphutsiyi ingakhale ndi maulendo atatu a katatu komanso a isosceles.
Chifukwa cha mphamvu zawo zazikulu, zing'onozing'ono zimagwiritsidwanso ntchito pomanga milatho, mafeleko a njinga, ndi Eiffel Tower.
Pentagon
Pentagon - likulu la US Department of Defense - limatchula dzina lake. Ndi zisanu ndi zisanu zomwe zimakhala pentagon nthawi zonse.
Chipinda Chokha
Chinthu china chodziwika bwino cha zisanu ndi chimodzi chokhazikika pentagon ndi malo apamwamba pa baseball diamondi.
The Fake Pentagon
Malo ogulitsira magetsi pafupi ndi Shanghai, China imakhala ngati ma Pentagon nthawi zonse, ndipo nthawi zina imatchedwa Fake Pentagon chifukwa imakhala yofanana ndi yapachiyambi.
Snowflakes
Chipale chofewa chilichonse chimayambira ngati mbale yamphongo, koma kutentha ndi mchere zimapanga nthambi ndi ma tonde kuti aliyense amalize kuyang'ana mosiyana ..
Njuchi ndi Maso
Mafuta a njuchi amakhalanso ndi njuchi kumene selo iliyonse muzinga yomwe njuchi zimamanga uchi zimakhala zofanana.
Madontho a mapepala amakhala ndi maselo osakanikirana omwe amalerera ana awo.
Giant's Causeway
Mafuta amapezekanso mu Giant's Causeway kumpoto-kum'mawa kwa Ireland.
Ndi thanthwe lachilengedwe lomwe limapangidwa ndi zitsulo zokwana 40,000 zomwe zimagwirizanitsidwa ndi basalt zomwe zinapangidwa ngati chiphalaphala chomwe chinachoka pang'onopang'ono.
The Octagon
The Octagon yomwe imatchulidwa pamwambapa - dzina loperekedwa kwa mphete kapena khola yomwe imagwiritsidwa ntchito mu UFC (Ultimate Fighting Championship) - imatchula dzina lake. Ndi octagon kawirikawiri.
Imani Zisonyezo
Chizindikiro choyimira - chimodzi mwa zizindikiro zapamsewu zomwe zimadziwika bwino - ndi zina zisanu ndi zitatu zokhazikika pa octagon.
Ngakhale kuti mtundu ndi mawu kapena zizindikiro pa chizindikirocho zingasinthe, mawonekedwe oimira chizindikiro cha stop akugwiritsidwa ntchito m'mayiko ambiri padziko lonse lapansi.